xref: /netbsd/games/gomoku/pickmove.c (revision bf9ec67e)
1 /*	$NetBSD: pickmove.c,v 1.9 1999/09/18 19:38:51 jsm Exp $	*/
2 
3 /*
4  * Copyright (c) 1994
5  *	The Regents of the University of California.  All rights reserved.
6  *
7  * This code is derived from software contributed to Berkeley by
8  * Ralph Campbell.
9  *
10  * Redistribution and use in source and binary forms, with or without
11  * modification, are permitted provided that the following conditions
12  * are met:
13  * 1. Redistributions of source code must retain the above copyright
14  *    notice, this list of conditions and the following disclaimer.
15  * 2. Redistributions in binary form must reproduce the above copyright
16  *    notice, this list of conditions and the following disclaimer in the
17  *    documentation and/or other materials provided with the distribution.
18  * 3. All advertising materials mentioning features or use of this software
19  *    must display the following acknowledgement:
20  *	This product includes software developed by the University of
21  *	California, Berkeley and its contributors.
22  * 4. Neither the name of the University nor the names of its contributors
23  *    may be used to endorse or promote products derived from this software
24  *    without specific prior written permission.
25  *
26  * THIS SOFTWARE IS PROVIDED BY THE REGENTS AND CONTRIBUTORS ``AS IS'' AND
27  * ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
28  * IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE
29  * ARE DISCLAIMED.  IN NO EVENT SHALL THE REGENTS OR CONTRIBUTORS BE LIABLE
30  * FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, EXEMPLARY, OR CONSEQUENTIAL
31  * DAMAGES (INCLUDING, BUT NOT LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS
32  * OR SERVICES; LOSS OF USE, DATA, OR PROFITS; OR BUSINESS INTERRUPTION)
33  * HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT
34  * LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY
35  * OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF
36  * SUCH DAMAGE.
37  */
38 
39 #include <sys/cdefs.h>
40 #ifndef lint
41 #if 0
42 static char sccsid[] = "@(#)pickmove.c	8.2 (Berkeley) 5/3/95";
43 #else
44 __RCSID("$NetBSD: pickmove.c,v 1.9 1999/09/18 19:38:51 jsm Exp $");
45 #endif
46 #endif /* not lint */
47 
48 #include <stdlib.h>
49 #include <string.h>
50 #include <curses.h>
51 #include <machine/limits.h>
52 
53 #include "gomoku.h"
54 
55 #define BITS_PER_INT	(sizeof(int) * CHAR_BIT)
56 #define MAPSZ		(BAREA / BITS_PER_INT)
57 
58 #define BIT_SET(a, b)	((a)[(b)/BITS_PER_INT] |= (1 << ((b) % BITS_PER_INT)))
59 #define BIT_CLR(a, b)	((a)[(b)/BITS_PER_INT] &= ~(1 << ((b) % BITS_PER_INT)))
60 #define BIT_TEST(a, b)	((a)[(b)/BITS_PER_INT] & (1 << ((b) % BITS_PER_INT)))
61 
62 struct	combostr *hashcombos[FAREA];	/* hash list for finding duplicates */
63 struct	combostr *sortcombos;		/* combos at higher levels */
64 int	combolen;			/* number of combos in sortcombos */
65 int	nextcolor;			/* color of next move */
66 int	elistcnt;			/* count of struct elist allocated */
67 int	combocnt;			/* count of struct combostr allocated */
68 int	forcemap[MAPSZ];		/* map for blocking <1,x> combos */
69 int	tmpmap[MAPSZ];			/* map for blocking <1,x> combos */
70 int	nforce;				/* count of opponent <1,x> combos */
71 
72 int
73 pickmove(us)
74 	int us;
75 {
76 	struct spotstr *sp, *sp1, *sp2;
77 	union comboval *Ocp, *Tcp;
78 	int m;
79 
80 	/* first move is easy */
81 	if (movenum == 1)
82 		return (PT(K,10));
83 
84 	/* initialize all the board values */
85 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
86 		sp->s_combo[BLACK].s = MAXCOMBO + 1;
87 		sp->s_combo[WHITE].s = MAXCOMBO + 1;
88 		sp->s_level[BLACK] = 255;
89 		sp->s_level[WHITE] = 255;
90 		sp->s_nforce[BLACK] = 0;
91 		sp->s_nforce[WHITE] = 0;
92 		sp->s_flg &= ~(FFLAGALL | MFLAGALL);
93 	}
94 	nforce = 0;
95 	memset(forcemap, 0, sizeof(forcemap));
96 
97 	/* compute new values */
98 	nextcolor = us;
99 	scanframes(BLACK);
100 	scanframes(WHITE);
101 
102 	/* find the spot with the highest value */
103 	for (sp = sp1 = sp2 = &board[PT(T,19)]; --sp >= &board[PT(A,1)]; ) {
104 		if (sp->s_occ != EMPTY)
105 			continue;
106 		if (debug && (sp->s_combo[BLACK].c.a == 1 ||
107 		    sp->s_combo[WHITE].c.a == 1)) {
108 			sprintf(fmtbuf, "- %s %x/%d %d %x/%d %d %d", stoc(sp - board),
109 				sp->s_combo[BLACK].s, sp->s_level[BLACK],
110 				sp->s_nforce[BLACK],
111 				sp->s_combo[WHITE].s, sp->s_level[WHITE],
112 				sp->s_nforce[WHITE],
113 				sp->s_wval);
114 			dlog(fmtbuf);
115 		}
116 		/* pick the best black move */
117 		if (better(sp, sp1, BLACK))
118 			sp1 = sp;
119 		/* pick the best white move */
120 		if (better(sp, sp2, WHITE))
121 			sp2 = sp;
122 	}
123 
124 	if (debug) {
125 		sprintf(fmtbuf, "B %s %x/%d %d %x/%d %d %d",
126 			stoc(sp1 - board),
127 			sp1->s_combo[BLACK].s, sp1->s_level[BLACK],
128 			sp1->s_nforce[BLACK],
129 			sp1->s_combo[WHITE].s, sp1->s_level[WHITE],
130 			sp1->s_nforce[WHITE], sp1->s_wval);
131 		dlog(fmtbuf);
132 		sprintf(fmtbuf, "W %s %x/%d %d %x/%d %d %d",
133 			stoc(sp2 - board),
134 			sp2->s_combo[WHITE].s, sp2->s_level[WHITE],
135 			sp2->s_nforce[WHITE],
136 			sp2->s_combo[BLACK].s, sp2->s_level[BLACK],
137 			sp2->s_nforce[BLACK], sp2->s_wval);
138 		dlog(fmtbuf);
139 		/*
140 		 * Check for more than one force that can't
141 		 * all be blocked with one move.
142 		 */
143 		sp = (us == BLACK) ? sp2 : sp1;
144 		m = sp - board;
145 		if (sp->s_combo[!us].c.a == 1 && !BIT_TEST(forcemap, m))
146 			dlog("*** Can't be blocked");
147 	}
148 	if (us == BLACK) {
149 		Ocp = &sp1->s_combo[BLACK];
150 		Tcp = &sp2->s_combo[WHITE];
151 	} else {
152 		Tcp = &sp1->s_combo[BLACK];
153 		Ocp = &sp2->s_combo[WHITE];
154 		sp = sp1;
155 		sp1 = sp2;
156 		sp2 = sp;
157 	}
158 	/*
159 	 * Block their combo only if we have to (i.e., if they are one move
160 	 * away from completing a force and we don't have a force that
161 	 * we can complete which takes fewer moves to win).
162 	 */
163 	if (Tcp->c.a <= 1 && (Ocp->c.a > 1 ||
164 	    Tcp->c.a + Tcp->c.b < Ocp->c.a + Ocp->c.b))
165 		return (sp2 - board);
166 	return (sp1 - board);
167 }
168 
169 /*
170  * Return true if spot 'sp' is better than spot 'sp1' for color 'us'.
171  */
172 int
173 better(sp, sp1, us)
174 	const struct spotstr *sp;
175 	const struct spotstr *sp1;
176 	int us;
177 {
178 	int them, s, s1;
179 
180 	if (sp->s_combo[us].s < sp1->s_combo[us].s)
181 		return (1);
182 	if (sp->s_combo[us].s != sp1->s_combo[us].s)
183 		return (0);
184 	if (sp->s_level[us] < sp1->s_level[us])
185 		return (1);
186 	if (sp->s_level[us] != sp1->s_level[us])
187 		return (0);
188 	if (sp->s_nforce[us] > sp1->s_nforce[us])
189 		return (1);
190 	if (sp->s_nforce[us] != sp1->s_nforce[us])
191 		return (0);
192 
193 	them = !us;
194 	s = sp - board;
195 	s1 = sp1 - board;
196 	if (BIT_TEST(forcemap, s) && !BIT_TEST(forcemap, s1))
197 		return (1);
198 	if (!BIT_TEST(forcemap, s) && BIT_TEST(forcemap, s1))
199 		return (0);
200 	if (sp->s_combo[them].s < sp1->s_combo[them].s)
201 		return (1);
202 	if (sp->s_combo[them].s != sp1->s_combo[them].s)
203 		return (0);
204 	if (sp->s_level[them] < sp1->s_level[them])
205 		return (1);
206 	if (sp->s_level[them] != sp1->s_level[them])
207 		return (0);
208 	if (sp->s_nforce[them] > sp1->s_nforce[them])
209 		return (1);
210 	if (sp->s_nforce[them] != sp1->s_nforce[them])
211 		return (0);
212 
213 	if (sp->s_wval > sp1->s_wval)
214 		return (1);
215 	if (sp->s_wval != sp1->s_wval)
216 		return (0);
217 
218 #ifdef SVR4
219 	return (rand() & 1);
220 #else
221 	return (random() & 1);
222 #endif
223 }
224 
225 int	curcolor;	/* implicit parameter to makecombo() */
226 int	curlevel;	/* implicit parameter to makecombo() */
227 
228 /*
229  * Scan the sorted list of non-empty frames and
230  * update the minimum combo values for each empty spot.
231  * Also, try to combine frames to find more complex (chained) moves.
232  */
233 void
234 scanframes(color)
235 	int color;
236 {
237 	struct combostr *cbp, *ecbp;
238 	struct spotstr *sp;
239 	union comboval *cp;
240 	struct elist *ep, *nep;
241 	int i, r, d, n;
242 	union comboval cb;
243 
244 	curcolor = color;
245 
246 	/* check for empty list of frames */
247 	cbp = sortframes[color];
248 	if (cbp == (struct combostr *)0)
249 		return;
250 
251 	/* quick check for four in a row */
252 	sp = &board[cbp->c_vertex];
253 	cb.s = sp->s_fval[color][d = cbp->c_dir].s;
254 	if (cb.s < 0x101) {
255 		d = dd[d];
256 		for (i = 5 + cb.c.b; --i >= 0; sp += d) {
257 			if (sp->s_occ != EMPTY)
258 				continue;
259 			sp->s_combo[color].s = cb.s;
260 			sp->s_level[color] = 1;
261 		}
262 		return;
263 	}
264 
265 	/*
266 	 * Update the minimum combo value for each spot in the frame
267 	 * and try making all combinations of two frames intersecting at
268 	 * an empty spot.
269 	 */
270 	n = combolen;
271 	ecbp = cbp;
272 	do {
273 		sp = &board[cbp->c_vertex];
274 		cp = &sp->s_fval[color][r = cbp->c_dir];
275 		d = dd[r];
276 		if (cp->c.b) {
277 			/*
278 			 * Since this is the first spot of an open ended
279 			 * frame, we treat it as a closed frame.
280 			 */
281 			cb.c.a = cp->c.a + 1;
282 			cb.c.b = 0;
283 			if (cb.s < sp->s_combo[color].s) {
284 				sp->s_combo[color].s = cb.s;
285 				sp->s_level[color] = 1;
286 			}
287 			/*
288 			 * Try combining other frames that intersect
289 			 * at this spot.
290 			 */
291 			makecombo2(cbp, sp, 0, cb.s);
292 			if (cp->s != 0x101)
293 				cb.s = cp->s;
294 			else if (color != nextcolor)
295 				memset(tmpmap, 0, sizeof(tmpmap));
296 			sp += d;
297 			i = 1;
298 		} else {
299 			cb.s = cp->s;
300 			i = 0;
301 		}
302 		for (; i < 5; i++, sp += d) {	/* for each spot */
303 			if (sp->s_occ != EMPTY)
304 				continue;
305 			if (cp->s < sp->s_combo[color].s) {
306 				sp->s_combo[color].s = cp->s;
307 				sp->s_level[color] = 1;
308 			}
309 			if (cp->s == 0x101) {
310 				sp->s_nforce[color]++;
311 				if (color != nextcolor) {
312 					n = sp - board;
313 					BIT_SET(tmpmap, n);
314 				}
315 			}
316 			/*
317 			 * Try combining other frames that intersect
318 			 * at this spot.
319 			 */
320 			makecombo2(cbp, sp, i, cb.s);
321 		}
322 		if (cp->s == 0x101 && color != nextcolor) {
323 			if (nforce == 0)
324 				memcpy(forcemap, tmpmap, sizeof(tmpmap));
325 			else {
326 				for (i = 0; (unsigned int)i < MAPSZ; i++)
327 					forcemap[i] &= tmpmap[i];
328 			}
329 		}
330 		/* mark frame as having been processed */
331 		board[cbp->c_vertex].s_flg |= MFLAG << r;
332 	} while ((cbp = cbp->c_next) != ecbp);
333 
334 	/*
335 	 * Try to make new 3rd level combos, 4th level, etc.
336 	 * Limit the search depth early in the game.
337 	 */
338 	d = 2;
339 	while (d <= ((movenum + 1) >> 1) && combolen > n) {
340 		if (debug) {
341 			sprintf(fmtbuf, "%cL%d %d %d %d", "BW"[color],
342 				d, combolen - n, combocnt, elistcnt);
343 			dlog(fmtbuf);
344 			refresh();
345 		}
346 		n = combolen;
347 		addframes(d);
348 		d++;
349 	}
350 
351 	/* scan for combos at empty spots */
352 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
353 		for (ep = sp->s_empty; ep; ep = nep) {
354 			cbp = ep->e_combo;
355 			if (cbp->c_combo.s <= sp->s_combo[color].s) {
356 				if (cbp->c_combo.s != sp->s_combo[color].s) {
357 					sp->s_combo[color].s = cbp->c_combo.s;
358 					sp->s_level[color] = cbp->c_nframes;
359 				} else if (cbp->c_nframes < sp->s_level[color])
360 					sp->s_level[color] = cbp->c_nframes;
361 			}
362 			nep = ep->e_next;
363 			free(ep);
364 			elistcnt--;
365 		}
366 		sp->s_empty = (struct elist *)0;
367 		for (ep = sp->s_nempty; ep; ep = nep) {
368 			cbp = ep->e_combo;
369 			if (cbp->c_combo.s <= sp->s_combo[color].s) {
370 				if (cbp->c_combo.s != sp->s_combo[color].s) {
371 					sp->s_combo[color].s = cbp->c_combo.s;
372 					sp->s_level[color] = cbp->c_nframes;
373 				} else if (cbp->c_nframes < sp->s_level[color])
374 					sp->s_level[color] = cbp->c_nframes;
375 			}
376 			nep = ep->e_next;
377 			free(ep);
378 			elistcnt--;
379 		}
380 		sp->s_nempty = (struct elist *)0;
381 	}
382 
383 	/* remove old combos */
384 	if ((cbp = sortcombos) != (struct combostr *)0) {
385 		struct combostr *ncbp;
386 
387 		/* scan the list */
388 		ecbp = cbp;
389 		do {
390 			ncbp = cbp->c_next;
391 			free(cbp);
392 			combocnt--;
393 		} while ((cbp = ncbp) != ecbp);
394 		sortcombos = (struct combostr *)0;
395 	}
396 	combolen = 0;
397 
398 #ifdef DEBUG
399 	if (combocnt) {
400 		sprintf(fmtbuf, "scanframes: %c combocnt %d", "BW"[color],
401 			combocnt);
402 		dlog(fmtbuf);
403 		whatsup(0);
404 	}
405 	if (elistcnt) {
406 		sprintf(fmtbuf, "scanframes: %c elistcnt %d", "BW"[color],
407 			elistcnt);
408 		dlog(fmtbuf);
409 		whatsup(0);
410 	}
411 #endif
412 }
413 
414 /*
415  * Compute all level 2 combos of frames intersecting spot 'osp'
416  * within the frame 'ocbp' and combo value 's'.
417  */
418 void
419 makecombo2(ocbp, osp, off, s)
420 	struct combostr *ocbp;
421 	struct spotstr *osp;
422 	int off;
423 	int s;
424 {
425 	struct spotstr *fsp;
426 	struct combostr *ncbp;
427 	int f, r, d, c;
428 	int baseB, fcnt, emask, bmask, n;
429 	union comboval ocb, fcb;
430 	struct combostr **scbpp, *fcbp;
431 
432 	/* try to combine a new frame with those found so far */
433 	ocb.s = s;
434 	baseB = ocb.c.a + ocb.c.b - 1;
435 	fcnt = ocb.c.a - 2;
436 	emask = fcnt ? ((ocb.c.b ? 0x1E : 0x1F) & ~(1 << off)) : 0;
437 	for (r = 4; --r >= 0; ) {			/* for each direction */
438 	    /* don't include frames that overlap in the same direction */
439 	    if (r == ocbp->c_dir)
440 		continue;
441 	    d = dd[r];
442 	    /*
443 	     * Frame A combined with B is the same value as B combined with A
444 	     * so skip frames that have already been processed (MFLAG).
445 	     * Also skip blocked frames (BFLAG) and frames that are <1,x>
446 	     * since combining another frame with it isn't valid.
447 	     */
448 	    bmask = (BFLAG | FFLAG | MFLAG) << r;
449 	    fsp = osp;
450 	    for (f = 0; f < 5; f++, fsp -= d) {		/* for each frame */
451 		if (fsp->s_occ == BORDER)
452 		    break;
453 		if (fsp->s_flg & bmask)
454 		    continue;
455 
456 		/* don't include frames of the wrong color */
457 		fcb.s = fsp->s_fval[curcolor][r].s;
458 		if (fcb.c.a >= MAXA)
459 		    continue;
460 
461 		/*
462 		 * Get the combo value for this frame.
463 		 * If this is the end point of the frame,
464 		 * use the closed ended value for the frame.
465 		 */
466 		if ((f == 0 && fcb.c.b) || fcb.s == 0x101) {
467 		    fcb.c.a++;
468 		    fcb.c.b = 0;
469 		}
470 
471 		/* compute combo value */
472 		c = fcb.c.a + ocb.c.a - 3;
473 		if (c > 4)
474 		    continue;
475 		n = fcb.c.a + fcb.c.b - 1;
476 		if (baseB < n)
477 		    n = baseB;
478 
479 		/* make a new combo! */
480 		ncbp = (struct combostr *)malloc(sizeof(struct combostr) +
481 		    2 * sizeof(struct combostr *));
482 		if (ncbp == NULL)
483 		    panic("Out of memory!");
484 		scbpp = (struct combostr **)(ncbp + 1);
485 		fcbp = fsp->s_frame[r];
486 		if (ocbp < fcbp) {
487 		    scbpp[0] = ocbp;
488 		    scbpp[1] = fcbp;
489 		} else {
490 		    scbpp[0] = fcbp;
491 		    scbpp[1] = ocbp;
492 		}
493 		ncbp->c_combo.c.a = c;
494 		ncbp->c_combo.c.b = n;
495 		ncbp->c_link[0] = ocbp;
496 		ncbp->c_link[1] = fcbp;
497 		ncbp->c_linkv[0].s = ocb.s;
498 		ncbp->c_linkv[1].s = fcb.s;
499 		ncbp->c_voff[0] = off;
500 		ncbp->c_voff[1] = f;
501 		ncbp->c_vertex = osp - board;
502 		ncbp->c_nframes = 2;
503 		ncbp->c_dir = 0;
504 		ncbp->c_frameindex = 0;
505 		ncbp->c_flg = (ocb.c.b) ? C_OPEN_0 : 0;
506 		if (fcb.c.b)
507 		    ncbp->c_flg |= C_OPEN_1;
508 		ncbp->c_framecnt[0] = fcnt;
509 		ncbp->c_emask[0] = emask;
510 		ncbp->c_framecnt[1] = fcb.c.a - 2;
511 		ncbp->c_emask[1] = ncbp->c_framecnt[1] ?
512 		    ((fcb.c.b ? 0x1E : 0x1F) & ~(1 << f)) : 0;
513 		combocnt++;
514 
515 		if ((c == 1 && debug > 1) || debug > 3) {
516 		    sprintf(fmtbuf, "%c c %d %d m %x %x o %d %d",
517 			"bw"[curcolor],
518 			ncbp->c_framecnt[0], ncbp->c_framecnt[1],
519 			ncbp->c_emask[0], ncbp->c_emask[1],
520 			ncbp->c_voff[0], ncbp->c_voff[1]);
521 		    dlog(fmtbuf);
522 		    printcombo(ncbp, fmtbuf);
523 		    dlog(fmtbuf);
524 		}
525 		if (c > 1) {
526 		    /* record the empty spots that will complete this combo */
527 		    makeempty(ncbp);
528 
529 		    /* add the new combo to the end of the list */
530 		    appendcombo(ncbp, curcolor);
531 		} else {
532 		    updatecombo(ncbp, curcolor);
533 		    free(ncbp);
534 		    combocnt--;
535 		}
536 #ifdef DEBUG
537 		if (c == 1 && debug > 1 || debug > 5) {
538 		    markcombo(ncbp);
539 		    bdisp();
540 		    whatsup(0);
541 		    clearcombo(ncbp, 0);
542 		}
543 #endif /* DEBUG */
544 	    }
545 	}
546 }
547 
548 /*
549  * Scan the sorted list of frames and try to add a frame to
550  * combinations of 'level' number of frames.
551  */
552 void
553 addframes(level)
554 	int level;
555 {
556 	struct combostr *cbp, *ecbp;
557 	struct spotstr *sp, *fsp;
558 	struct elist *ep, *nep;
559 	int i, r, d;
560 	struct combostr **cbpp, *pcbp;
561 	union comboval fcb, cb;
562 
563 	curlevel = level;
564 
565 	/* scan for combos at empty spots */
566 	i = curcolor;
567 	for (sp = &board[PT(T,20)]; --sp >= &board[PT(A,1)]; ) {
568 		for (ep = sp->s_empty; ep; ep = nep) {
569 			cbp = ep->e_combo;
570 			if (cbp->c_combo.s <= sp->s_combo[i].s) {
571 				if (cbp->c_combo.s != sp->s_combo[i].s) {
572 					sp->s_combo[i].s = cbp->c_combo.s;
573 					sp->s_level[i] = cbp->c_nframes;
574 				} else if (cbp->c_nframes < sp->s_level[i])
575 					sp->s_level[i] = cbp->c_nframes;
576 			}
577 			nep = ep->e_next;
578 			free(ep);
579 			elistcnt--;
580 		}
581 		sp->s_empty = sp->s_nempty;
582 		sp->s_nempty = (struct elist *)0;
583 	}
584 
585 	/* try to add frames to the uncompleted combos at level curlevel */
586 	cbp = ecbp = sortframes[curcolor];
587 	do {
588 		fsp = &board[cbp->c_vertex];
589 		r = cbp->c_dir;
590 		/* skip frames that are part of a <1,x> combo */
591 		if (fsp->s_flg & (FFLAG << r))
592 			continue;
593 
594 		/*
595 		 * Don't include <1,x> combo frames,
596 		 * treat it as a closed three in a row instead.
597 		 */
598 		fcb.s = fsp->s_fval[curcolor][r].s;
599 		if (fcb.s == 0x101)
600 			fcb.s = 0x200;
601 
602 		/*
603 		 * If this is an open ended frame, use
604 		 * the combo value with the end closed.
605 		 */
606 		if (fsp->s_occ == EMPTY) {
607 			if (fcb.c.b) {
608 				cb.c.a = fcb.c.a + 1;
609 				cb.c.b = 0;
610 			} else
611 				cb.s = fcb.s;
612 			makecombo(cbp, fsp, 0, cb.s);
613 		}
614 
615 		/*
616 		 * The next four spots are handled the same for both
617 		 * open and closed ended frames.
618 		 */
619 		d = dd[r];
620 		sp = fsp + d;
621 		for (i = 1; i < 5; i++, sp += d) {
622 			if (sp->s_occ != EMPTY)
623 				continue;
624 			makecombo(cbp, sp, i, fcb.s);
625 		}
626 	} while ((cbp = cbp->c_next) != ecbp);
627 
628 	/* put all the combos in the hash list on the sorted list */
629 	cbpp = &hashcombos[FAREA];
630 	do {
631 		cbp = *--cbpp;
632 		if (cbp == (struct combostr *)0)
633 			continue;
634 		*cbpp = (struct combostr *)0;
635 		ecbp = sortcombos;
636 		if (ecbp == (struct combostr *)0)
637 			sortcombos = cbp;
638 		else {
639 			/* append to sort list */
640 			pcbp = ecbp->c_prev;
641 			pcbp->c_next = cbp;
642 			ecbp->c_prev = cbp->c_prev;
643 			cbp->c_prev->c_next = ecbp;
644 			cbp->c_prev = pcbp;
645 		}
646 	} while (cbpp != hashcombos);
647 }
648 
649 /*
650  * Compute all level N combos of frames intersecting spot 'osp'
651  * within the frame 'ocbp' and combo value 's'.
652  */
653 void
654 makecombo(ocbp, osp, off, s)
655 	struct combostr *ocbp;
656 	struct spotstr *osp;
657 	int off;
658 	int s;
659 {
660 	struct combostr *cbp, *ncbp;
661 	struct spotstr *sp;
662 	struct elist *ep;
663 	int n, c;
664 	struct elist *nep;
665 	struct combostr **scbpp;
666 	int baseB, fcnt, emask, verts;
667 	union comboval ocb;
668 	struct ovlp_info vertices[1];
669 
670 	ocb.s = s;
671 	baseB = ocb.c.a + ocb.c.b - 1;
672 	fcnt = ocb.c.a - 2;
673 	emask = fcnt ? ((ocb.c.b ? 0x1E : 0x1F) & ~(1 << off)) : 0;
674 	for (ep = osp->s_empty; ep; ep = ep->e_next) {
675 	    /* check for various kinds of overlap */
676 	    cbp = ep->e_combo;
677 	    verts = checkframes(cbp, ocbp, osp, s, vertices);
678 	    if (verts < 0)
679 		continue;
680 
681 	    /* check to see if this frame forms a valid loop */
682 	    if (verts) {
683 		sp = &board[vertices[0].o_intersect];
684 #ifdef DEBUG
685 		if (sp->s_occ != EMPTY) {
686 		    sprintf(fmtbuf, "loop: %c %s", "BW"[curcolor],
687 			stoc(sp - board));
688 		    dlog(fmtbuf);
689 		    whatsup(0);
690 		}
691 #endif
692 		/*
693 		 * It is a valid loop if the intersection spot
694 		 * of the frame we are trying to attach is one
695 		 * of the completion spots of the combostr
696 		 * we are trying to attach the frame to.
697 		 */
698 		for (nep = sp->s_empty; nep; nep = nep->e_next) {
699 		    if (nep->e_combo == cbp)
700 			goto fnd;
701 		    if (nep->e_combo->c_nframes < cbp->c_nframes)
702 			break;
703 		}
704 		/* frame overlaps but not at a valid spot */
705 		continue;
706 	    fnd:
707 		;
708 	    }
709 
710 	    /* compute the first half of the combo value */
711 	    c = cbp->c_combo.c.a + ocb.c.a - verts - 3;
712 	    if (c > 4)
713 		continue;
714 
715 	    /* compute the second half of the combo value */
716 	    n = ep->e_fval.c.a + ep->e_fval.c.b - 1;
717 	    if (baseB < n)
718 		n = baseB;
719 
720 	    /* make a new combo! */
721 	    ncbp = (struct combostr *)malloc(sizeof(struct combostr) +
722 		(cbp->c_nframes + 1) * sizeof(struct combostr *));
723 	    if (ncbp == NULL)
724 		panic("Out of memory!");
725 	    scbpp = (struct combostr **)(ncbp + 1);
726 	    if (sortcombo(scbpp, (struct combostr **)(cbp + 1), ocbp)) {
727 		free(ncbp);
728 		continue;
729 	    }
730 	    combocnt++;
731 
732 	    ncbp->c_combo.c.a = c;
733 	    ncbp->c_combo.c.b = n;
734 	    ncbp->c_link[0] = cbp;
735 	    ncbp->c_link[1] = ocbp;
736 	    ncbp->c_linkv[1].s = ocb.s;
737 	    ncbp->c_voff[1] = off;
738 	    ncbp->c_vertex = osp - board;
739 	    ncbp->c_nframes = cbp->c_nframes + 1;
740 	    ncbp->c_flg = ocb.c.b ? C_OPEN_1 : 0;
741 	    ncbp->c_frameindex = ep->e_frameindex;
742 	    /*
743 	     * Update the completion spot mask of the frame we
744 	     * are attaching 'ocbp' to so the intersection isn't
745 	     * listed twice.
746 	     */
747 	    ncbp->c_framecnt[0] = ep->e_framecnt;
748 	    ncbp->c_emask[0] = ep->e_emask;
749 	    if (verts) {
750 		ncbp->c_flg |= C_LOOP;
751 		ncbp->c_dir = vertices[0].o_frameindex;
752 		ncbp->c_framecnt[1] = fcnt - 1;
753 		if (ncbp->c_framecnt[1]) {
754 		    n = (vertices[0].o_intersect - ocbp->c_vertex) /
755 			dd[ocbp->c_dir];
756 		    ncbp->c_emask[1] = emask & ~(1 << n);
757 		} else
758 		    ncbp->c_emask[1] = 0;
759 		ncbp->c_voff[0] = vertices[0].o_off;
760 	    } else {
761 		ncbp->c_dir = 0;
762 		ncbp->c_framecnt[1] = fcnt;
763 		ncbp->c_emask[1] = emask;
764 		ncbp->c_voff[0] = ep->e_off;
765 	    }
766 
767 	    if ((c == 1 && debug > 1) || debug > 3) {
768 		sprintf(fmtbuf, "%c v%d i%d d%d c %d %d m %x %x o %d %d",
769 		    "bw"[curcolor], verts, ncbp->c_frameindex, ncbp->c_dir,
770 		    ncbp->c_framecnt[0], ncbp->c_framecnt[1],
771 		    ncbp->c_emask[0], ncbp->c_emask[1],
772 		    ncbp->c_voff[0], ncbp->c_voff[1]);
773 		dlog(fmtbuf);
774 		printcombo(ncbp, fmtbuf);
775 		dlog(fmtbuf);
776 	    }
777 	    if (c > 1) {
778 		/* record the empty spots that will complete this combo */
779 		makeempty(ncbp);
780 		combolen++;
781 	    } else {
782 		/* update board values */
783 		updatecombo(ncbp, curcolor);
784 	    }
785 #ifdef DEBUG
786 	    if (c == 1 && debug > 1 || debug > 4) {
787 		markcombo(ncbp);
788 		bdisp();
789 		whatsup(0);
790 		clearcombo(ncbp, 0);
791 	    }
792 #endif /* DEBUG */
793 	}
794 }
795 
796 #define MAXDEPTH	100
797 struct elist	einfo[MAXDEPTH];
798 struct combostr	*ecombo[MAXDEPTH];	/* separate from elist to save space */
799 
800 /*
801  * Add the combostr 'ocbp' to the empty spots list for each empty spot
802  * in 'ocbp' that will complete the combo.
803  */
804 void
805 makeempty(ocbp)
806 	struct combostr *ocbp;
807 {
808 	struct combostr *cbp, *tcbp, **cbpp;
809 	struct elist *ep, *nep;
810 	struct spotstr *sp;
811 	int s, d, m, emask, i;
812 	int nframes;
813 
814 	if (debug > 2) {
815 		sprintf(fmtbuf, "E%c ", "bw"[curcolor]);
816 		printcombo(ocbp, fmtbuf + 3);
817 		dlog(fmtbuf);
818 	}
819 
820 	/* should never happen but check anyway */
821 	if ((nframes = ocbp->c_nframes) >= MAXDEPTH)
822 		return;
823 
824 	/*
825 	 * The lower level combo can be pointed to by more than one
826 	 * higher level 'struct combostr' so we can't modify the
827 	 * lower level. Therefore, higher level combos store the
828 	 * real mask of the lower level frame in c_emask[0] and the
829 	 * frame number in c_frameindex.
830 	 *
831 	 * First we traverse the tree from top to bottom and save the
832 	 * connection info. Then we traverse the tree from bottom to
833 	 * top overwriting lower levels with the newer emask information.
834 	 */
835 	ep = &einfo[nframes];
836 	cbpp = &ecombo[nframes];
837 	for (cbp = ocbp; (tcbp = cbp->c_link[1]) != NULL;
838 	    cbp = cbp->c_link[0]) {
839 		ep--;
840 		ep->e_combo = cbp;
841 		*--cbpp = cbp->c_link[1];
842 		ep->e_off = cbp->c_voff[1];
843 		ep->e_frameindex = cbp->c_frameindex;
844 		ep->e_fval.s = cbp->c_linkv[1].s;
845 		ep->e_framecnt = cbp->c_framecnt[1];
846 		ep->e_emask = cbp->c_emask[1];
847 	}
848 	cbp = ep->e_combo;
849 	ep--;
850 	ep->e_combo = cbp;
851 	*--cbpp = cbp->c_link[0];
852 	ep->e_off = cbp->c_voff[0];
853 	ep->e_frameindex = 0;
854 	ep->e_fval.s = cbp->c_linkv[0].s;
855 	ep->e_framecnt = cbp->c_framecnt[0];
856 	ep->e_emask = cbp->c_emask[0];
857 
858 	/* now update the emask info */
859 	s = 0;
860 	for (i = 2, ep += 2; i < nframes; i++, ep++) {
861 		cbp = ep->e_combo;
862 		nep = &einfo[ep->e_frameindex];
863 		nep->e_framecnt = cbp->c_framecnt[0];
864 		nep->e_emask = cbp->c_emask[0];
865 
866 		if (cbp->c_flg & C_LOOP) {
867 			s++;
868 			/*
869 			 * Account for the fact that this frame connects
870 			 * to a previous one (thus forming a loop).
871 			 */
872 			nep = &einfo[cbp->c_dir];
873 			if (--nep->e_framecnt)
874 				nep->e_emask &= ~(1 << cbp->c_voff[0]);
875 			else
876 				nep->e_emask = 0;
877 		}
878 	}
879 
880 	/*
881 	 * We only need to update the emask values of "complete" loops
882 	 * to include the intersection spots.
883 	 */
884 	if (s && ocbp->c_combo.c.a == 2) {
885 		/* process loops from the top down */
886 		ep = &einfo[nframes];
887 		do {
888 			ep--;
889 			cbp = ep->e_combo;
890 			if (!(cbp->c_flg & C_LOOP))
891 				continue;
892 
893 			/*
894 			 * Update the emask values to include the
895 			 * intersection spots.
896 			 */
897 			nep = &einfo[cbp->c_dir];
898 			nep->e_framecnt = 1;
899 			nep->e_emask = 1 << cbp->c_voff[0];
900 			ep->e_framecnt = 1;
901 			ep->e_emask = 1 << ep->e_off;
902 			ep = &einfo[ep->e_frameindex];
903 			do {
904 				ep->e_framecnt = 1;
905 				ep->e_emask = 1 << ep->e_off;
906 				ep = &einfo[ep->e_frameindex];
907 			} while (ep > nep);
908 		} while (ep != einfo);
909 	}
910 
911 	/* check all the frames for completion spots */
912 	for (i = 0, ep = einfo, cbpp = ecombo; i < nframes; i++, ep++, cbpp++) {
913 		/* skip this frame if there are no incomplete spots in it */
914 		if ((emask = ep->e_emask) == 0)
915 			continue;
916 		cbp = *cbpp;
917 		sp = &board[cbp->c_vertex];
918 		d = dd[cbp->c_dir];
919 		for (s = 0, m = 1; s < 5; s++, sp += d, m <<= 1) {
920 			if (sp->s_occ != EMPTY || !(emask & m))
921 				continue;
922 
923 			/* add the combo to the list of empty spots */
924 			nep = (struct elist *)malloc(sizeof(struct elist));
925 			if (nep == NULL)
926 			    panic("Out of memory!");
927 			nep->e_combo = ocbp;
928 			nep->e_off = s;
929 			nep->e_frameindex = i;
930 			if (ep->e_framecnt > 1) {
931 				nep->e_framecnt = ep->e_framecnt - 1;
932 				nep->e_emask = emask & ~m;
933 			} else {
934 				nep->e_framecnt = 0;
935 				nep->e_emask = 0;
936 			}
937 			nep->e_fval.s = ep->e_fval.s;
938 			if (debug > 2) {
939 				sprintf(fmtbuf, "e %s o%d i%d c%d m%x %x",
940 					stoc(sp - board),
941 					nep->e_off,
942 					nep->e_frameindex,
943 					nep->e_framecnt,
944 					nep->e_emask,
945 					nep->e_fval.s);
946 				dlog(fmtbuf);
947 			}
948 
949 			/* sort by the number of frames in the combo */
950 			nep->e_next = sp->s_nempty;
951 			sp->s_nempty = nep;
952 			elistcnt++;
953 		}
954 	}
955 }
956 
957 /*
958  * Update the board value based on the combostr.
959  * This is called only if 'cbp' is a <1,x> combo.
960  * We handle things differently depending on whether the next move
961  * would be trying to "complete" the combo or trying to block it.
962  */
963 void
964 updatecombo(cbp, color)
965 	struct combostr *cbp;
966 	int color;
967 {
968 	struct spotstr *sp;
969 	struct combostr *tcbp;
970 	int i, d;
971 	int nframes, flg, s;
972 	union comboval cb;
973 
974 	flg = 0;
975 	/* save the top level value for the whole combo */
976 	cb.c.a = cbp->c_combo.c.a;
977 	nframes = cbp->c_nframes;
978 
979 	if (color != nextcolor)
980 		memset(tmpmap, 0, sizeof(tmpmap));
981 
982 	for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
983 		flg = cbp->c_flg;
984 		cb.c.b = cbp->c_combo.c.b;
985 		if (color == nextcolor) {
986 			/* update the board value for the vertex */
987 			sp = &board[cbp->c_vertex];
988 			sp->s_nforce[color]++;
989 			if (cb.s <= sp->s_combo[color].s) {
990 				if (cb.s != sp->s_combo[color].s) {
991 					sp->s_combo[color].s = cb.s;
992 					sp->s_level[color] = nframes;
993 				} else if (nframes < sp->s_level[color])
994 					sp->s_level[color] = nframes;
995 			}
996 		} else {
997 			/* update the board values for each spot in frame */
998 			sp = &board[s = tcbp->c_vertex];
999 			d = dd[tcbp->c_dir];
1000 			i = (flg & C_OPEN_1) ? 6 : 5;
1001 			for (; --i >= 0; sp += d, s += d) {
1002 				if (sp->s_occ != EMPTY)
1003 					continue;
1004 				sp->s_nforce[color]++;
1005 				if (cb.s <= sp->s_combo[color].s) {
1006 					if (cb.s != sp->s_combo[color].s) {
1007 						sp->s_combo[color].s = cb.s;
1008 						sp->s_level[color] = nframes;
1009 					} else if (nframes < sp->s_level[color])
1010 						sp->s_level[color] = nframes;
1011 				}
1012 				BIT_SET(tmpmap, s);
1013 			}
1014 		}
1015 
1016 		/* mark the frame as being part of a <1,x> combo */
1017 		board[tcbp->c_vertex].s_flg |= FFLAG << tcbp->c_dir;
1018 	}
1019 
1020 	if (color != nextcolor) {
1021 		/* update the board values for each spot in frame */
1022 		sp = &board[s = cbp->c_vertex];
1023 		d = dd[cbp->c_dir];
1024 		i = (flg & C_OPEN_0) ? 6 : 5;
1025 		for (; --i >= 0; sp += d, s += d) {
1026 			if (sp->s_occ != EMPTY)
1027 				continue;
1028 			sp->s_nforce[color]++;
1029 			if (cb.s <= sp->s_combo[color].s) {
1030 				if (cb.s != sp->s_combo[color].s) {
1031 					sp->s_combo[color].s = cb.s;
1032 					sp->s_level[color] = nframes;
1033 				} else if (nframes < sp->s_level[color])
1034 					sp->s_level[color] = nframes;
1035 			}
1036 			BIT_SET(tmpmap, s);
1037 		}
1038 		if (nforce == 0)
1039 			memcpy(forcemap, tmpmap, sizeof(tmpmap));
1040 		else {
1041 			for (i = 0; (unsigned int)i < MAPSZ; i++)
1042 				forcemap[i] &= tmpmap[i];
1043 		}
1044 		nforce++;
1045 	}
1046 
1047 	/* mark the frame as being part of a <1,x> combo */
1048 	board[cbp->c_vertex].s_flg |= FFLAG << cbp->c_dir;
1049 }
1050 
1051 /*
1052  * Add combo to the end of the list.
1053  */
1054 void
1055 appendcombo(cbp, color)
1056 	struct combostr *cbp;
1057 	int color __attribute__((__unused__));
1058 {
1059 	struct combostr *pcbp, *ncbp;
1060 
1061 	combolen++;
1062 	ncbp = sortcombos;
1063 	if (ncbp == (struct combostr *)0) {
1064 		sortcombos = cbp;
1065 		cbp->c_next = cbp;
1066 		cbp->c_prev = cbp;
1067 		return;
1068 	}
1069 	pcbp = ncbp->c_prev;
1070 	cbp->c_next = ncbp;
1071 	cbp->c_prev = pcbp;
1072 	ncbp->c_prev = cbp;
1073 	pcbp->c_next = cbp;
1074 }
1075 
1076 /*
1077  * Return zero if it is valid to combine frame 'fcbp' with the frames
1078  * in 'cbp' and forms a linked chain of frames (i.e., a tree; no loops).
1079  * Return positive if combining frame 'fcbp' to the frames in 'cbp'
1080  * would form some kind of valid loop. Also return the intersection spots
1081  * in 'vertices[]' beside the known intersection at spot 'osp'.
1082  * Return -1 if 'fcbp' should not be combined with 'cbp'.
1083  * 's' is the combo value for frame 'fcpb'.
1084  */
1085 int
1086 checkframes(cbp, fcbp, osp, s, vertices)
1087 	struct combostr *cbp;
1088 	struct combostr *fcbp;
1089 	struct spotstr *osp;
1090 	int s;
1091 	struct ovlp_info *vertices;
1092 {
1093 	struct combostr *tcbp, *lcbp;
1094 	int i, n, mask, flg, verts, loop, index, fcnt;
1095 	union comboval cb;
1096 	u_char *str;
1097 	short *ip;
1098 
1099 	lcbp = NULL;
1100 	flg = 0;
1101 
1102 	cb.s = s;
1103 	fcnt = cb.c.a - 2;
1104 	verts = 0;
1105 	loop = 0;
1106 	index = cbp->c_nframes;
1107 	n = (fcbp - frames) * FAREA;
1108 	str = &overlap[n];
1109 	ip = &intersect[n];
1110 	/*
1111 	 * i == which overlap bit to test based on whether 'fcbp' is
1112 	 * an open or closed frame.
1113 	 */
1114 	i = cb.c.b ? 2 : 0;
1115 	for (; (tcbp = cbp->c_link[1]) != NULL;
1116 	    lcbp = cbp, cbp = cbp->c_link[0]) {
1117 		if (tcbp == fcbp)
1118 			return (-1);	/* fcbp is already included */
1119 
1120 		/* check for intersection of 'tcbp' with 'fcbp' */
1121 		index--;
1122 		mask = str[tcbp - frames];
1123 		flg = cbp->c_flg;
1124 		n = i + ((flg & C_OPEN_1) != 0);
1125 		if (mask & (1 << n)) {
1126 			/*
1127 			 * The two frames are not independent if they
1128 			 * both lie in the same line and intersect at
1129 			 * more than one point.
1130 			 */
1131 			if (tcbp->c_dir == fcbp->c_dir && (mask & (0x10 << n)))
1132 				return (-1);
1133 			/*
1134 			 * If this is not the spot we are attaching
1135 			 * 'fcbp' to and it is a reasonable intersection
1136 			 * spot, then there might be a loop.
1137 			 */
1138 			n = ip[tcbp - frames];
1139 			if (osp != &board[n]) {
1140 				/* check to see if this is a valid loop */
1141 				if (verts)
1142 					return (-1);
1143 				if (fcnt == 0 || cbp->c_framecnt[1] == 0)
1144 					return (-1);
1145 				/*
1146 				 * Check to be sure the intersection is not
1147 				 * one of the end points if it is an open
1148 				 * ended frame.
1149 				 */
1150 				if ((flg & C_OPEN_1) &&
1151 				    (n == tcbp->c_vertex ||
1152 				     n == tcbp->c_vertex + 5 * dd[tcbp->c_dir]))
1153 					return (-1);	/* invalid overlap */
1154 				if (cb.c.b &&
1155 				    (n == fcbp->c_vertex ||
1156 				     n == fcbp->c_vertex + 5 * dd[fcbp->c_dir]))
1157 					return (-1);	/* invalid overlap */
1158 
1159 				vertices->o_intersect = n;
1160 				vertices->o_fcombo = cbp;
1161 				vertices->o_link = 1;
1162 				vertices->o_off = (n - tcbp->c_vertex) /
1163 					dd[tcbp->c_dir];
1164 				vertices->o_frameindex = index;
1165 				verts++;
1166 			}
1167 		}
1168 		n = i + ((flg & C_OPEN_0) != 0);
1169 	}
1170 	if (cbp == fcbp)
1171 		return (-1);	/* fcbp is already included */
1172 
1173 	/* check for intersection of 'cbp' with 'fcbp' */
1174 	mask = str[cbp - frames];
1175 	if (mask & (1 << n)) {
1176 		/*
1177 		 * The two frames are not independent if they
1178 		 * both lie in the same line and intersect at
1179 		 * more than one point.
1180 		 */
1181 		if (cbp->c_dir == fcbp->c_dir && (mask & (0x10 << n)))
1182 			return (-1);
1183 		/*
1184 		 * If this is not the spot we are attaching
1185 		 * 'fcbp' to and it is a reasonable intersection
1186 		 * spot, then there might be a loop.
1187 		 */
1188 		n = ip[cbp - frames];
1189 		if (osp != &board[n]) {
1190 			/* check to see if this is a valid loop */
1191 			if (verts)
1192 				return (-1);
1193 			if (fcnt == 0 || lcbp->c_framecnt[0] == 0)
1194 				return (-1);
1195 			/*
1196 			 * Check to be sure the intersection is not
1197 			 * one of the end points if it is an open
1198 			 * ended frame.
1199 			 */
1200 			if ((flg & C_OPEN_0) &&
1201 			    (n == cbp->c_vertex ||
1202 			     n == cbp->c_vertex + 5 * dd[cbp->c_dir]))
1203 				return (-1);	/* invalid overlap */
1204 			if (cb.c.b &&
1205 			    (n == fcbp->c_vertex ||
1206 			     n == fcbp->c_vertex + 5 * dd[fcbp->c_dir]))
1207 				return (-1);	/* invalid overlap */
1208 
1209 			vertices->o_intersect = n;
1210 			vertices->o_fcombo = lcbp;
1211 			vertices->o_link = 0;
1212 			vertices->o_off = (n - cbp->c_vertex) /
1213 				dd[cbp->c_dir];
1214 			vertices->o_frameindex = 0;
1215 			verts++;
1216 		}
1217 	}
1218 	return (verts);
1219 }
1220 
1221 /*
1222  * Merge sort the frame 'fcbp' and the sorted list of frames 'cbpp' and
1223  * store the result in 'scbpp'. 'curlevel' is the size of the 'cbpp' array.
1224  * Return true if this list of frames is already in the hash list.
1225  * Otherwise, add the new combo to the hash list.
1226  */
1227 int
1228 sortcombo(scbpp, cbpp, fcbp)
1229 	struct combostr **scbpp;
1230 	struct combostr **cbpp;
1231 	struct combostr *fcbp;
1232 {
1233 	struct combostr **spp, **cpp;
1234 	struct combostr *cbp, *ecbp;
1235 	int n, inx;
1236 
1237 #ifdef DEBUG
1238 	if (debug > 3) {
1239 		char *str;
1240 
1241 		sprintf(fmtbuf, "sortc: %s%c l%d", stoc(fcbp->c_vertex),
1242 			pdir[fcbp->c_dir], curlevel);
1243 		dlog(fmtbuf);
1244 		str = fmtbuf;
1245 		for (cpp = cbpp; cpp < cbpp + curlevel; cpp++) {
1246 			sprintf(str, " %s%c", stoc((*cpp)->c_vertex),
1247 				pdir[(*cpp)->c_dir]);
1248 			str += strlen(str);
1249 		}
1250 		dlog(fmtbuf);
1251 	}
1252 #endif /* DEBUG */
1253 
1254 	/* first build the new sorted list */
1255 	n = curlevel + 1;
1256 	spp = scbpp + n;
1257 	cpp = cbpp + curlevel;
1258 	do {
1259 		cpp--;
1260 		if (fcbp > *cpp) {
1261 			*--spp = fcbp;
1262 			do
1263 				*--spp = *cpp;
1264 			while (cpp-- != cbpp);
1265 			goto inserted;
1266 		}
1267 		*--spp = *cpp;
1268 	} while (cpp != cbpp);
1269 	*--spp = fcbp;
1270 inserted:
1271 
1272 	/* now check to see if this list of frames has already been seen */
1273 	cbp = hashcombos[inx = *scbpp - frames];
1274 	if (cbp == (struct combostr *)0) {
1275 		/*
1276 		 * Easy case, this list hasn't been seen.
1277 		 * Add it to the hash list.
1278 		 */
1279 		fcbp = (struct combostr *)
1280 			((char *)scbpp - sizeof(struct combostr));
1281 		hashcombos[inx] = fcbp;
1282 		fcbp->c_next = fcbp->c_prev = fcbp;
1283 		return (0);
1284 	}
1285 	ecbp = cbp;
1286 	do {
1287 		cbpp = (struct combostr **)(cbp + 1);
1288 		cpp = cbpp + n;
1289 		spp = scbpp + n;
1290 		cbpp++;	/* first frame is always the same */
1291 		do {
1292 			if (*--spp != *--cpp)
1293 				goto next;
1294 		} while (cpp != cbpp);
1295 		/* we found a match */
1296 #ifdef DEBUG
1297 		if (debug > 3) {
1298 			char *str;
1299 
1300 			sprintf(fmtbuf, "sort1: n%d", n);
1301 			dlog(fmtbuf);
1302 			str = fmtbuf;
1303 			for (cpp = scbpp; cpp < scbpp + n; cpp++) {
1304 				sprintf(str, " %s%c", stoc((*cpp)->c_vertex),
1305 					pdir[(*cpp)->c_dir]);
1306 				str += strlen(str);
1307 			}
1308 			dlog(fmtbuf);
1309 			printcombo(cbp, fmtbuf);
1310 			dlog(fmtbuf);
1311 			str = fmtbuf;
1312 			cbpp--;
1313 			for (cpp = cbpp; cpp < cbpp + n; cpp++) {
1314 				sprintf(str, " %s%c", stoc((*cpp)->c_vertex),
1315 					pdir[(*cpp)->c_dir]);
1316 				str += strlen(str);
1317 			}
1318 			dlog(fmtbuf);
1319 		}
1320 #endif /* DEBUG */
1321 		return (1);
1322 	next:
1323 		;
1324 	} while ((cbp = cbp->c_next) != ecbp);
1325 	/*
1326 	 * This list of frames hasn't been seen.
1327 	 * Add it to the hash list.
1328 	 */
1329 	ecbp = cbp->c_prev;
1330 	fcbp = (struct combostr *)((char *)scbpp - sizeof(struct combostr));
1331 	fcbp->c_next = cbp;
1332 	fcbp->c_prev = ecbp;
1333 	cbp->c_prev = fcbp;
1334 	ecbp->c_next = fcbp;
1335 	return (0);
1336 }
1337 
1338 /*
1339  * Print the combo into string 'str'.
1340  */
1341 void
1342 printcombo(cbp, str)
1343 	struct combostr *cbp;
1344 	char *str;
1345 {
1346 	struct combostr *tcbp;
1347 
1348 	sprintf(str, "%x/%d", cbp->c_combo.s, cbp->c_nframes);
1349 	str += strlen(str);
1350 	for (; (tcbp = cbp->c_link[1]) != NULL; cbp = cbp->c_link[0]) {
1351 		sprintf(str, " %s%c%x", stoc(tcbp->c_vertex), pdir[tcbp->c_dir],
1352 			cbp->c_flg);
1353 		str += strlen(str);
1354 	}
1355 	sprintf(str, " %s%c", stoc(cbp->c_vertex), pdir[cbp->c_dir]);
1356 }
1357 
1358 #ifdef DEBUG
1359 void
1360 markcombo(ocbp)
1361 	struct combostr *ocbp;
1362 {
1363 	struct combostr *cbp, *tcbp, **cbpp;
1364 	struct elist *ep, *nep, **epp;
1365 	struct spotstr *sp;
1366 	int s, d, m, i;
1367 	int nframes;
1368 	int r, n, flg, cmask, omask;
1369 
1370 	/* should never happen but check anyway */
1371 	if ((nframes = ocbp->c_nframes) >= MAXDEPTH)
1372 		return;
1373 
1374 	/*
1375 	 * The lower level combo can be pointed to by more than one
1376 	 * higher level 'struct combostr' so we can't modify the
1377 	 * lower level. Therefore, higher level combos store the
1378 	 * real mask of the lower level frame in c_emask[0] and the
1379 	 * frame number in c_frameindex.
1380 	 *
1381 	 * First we traverse the tree from top to bottom and save the
1382 	 * connection info. Then we traverse the tree from bottom to
1383 	 * top overwriting lower levels with the newer emask information.
1384 	 */
1385 	ep = &einfo[nframes];
1386 	cbpp = &ecombo[nframes];
1387 	for (cbp = ocbp; tcbp = cbp->c_link[1]; cbp = cbp->c_link[0]) {
1388 		ep--;
1389 		ep->e_combo = cbp;
1390 		*--cbpp = cbp->c_link[1];
1391 		ep->e_off = cbp->c_voff[1];
1392 		ep->e_frameindex = cbp->c_frameindex;
1393 		ep->e_fval.s = cbp->c_linkv[1].s;
1394 		ep->e_framecnt = cbp->c_framecnt[1];
1395 		ep->e_emask = cbp->c_emask[1];
1396 	}
1397 	cbp = ep->e_combo;
1398 	ep--;
1399 	ep->e_combo = cbp;
1400 	*--cbpp = cbp->c_link[0];
1401 	ep->e_off = cbp->c_voff[0];
1402 	ep->e_frameindex = 0;
1403 	ep->e_fval.s = cbp->c_linkv[0].s;
1404 	ep->e_framecnt = cbp->c_framecnt[0];
1405 	ep->e_emask = cbp->c_emask[0];
1406 
1407 	/* now update the emask info */
1408 	s = 0;
1409 	for (i = 2, ep += 2; i < nframes; i++, ep++) {
1410 		cbp = ep->e_combo;
1411 		nep = &einfo[ep->e_frameindex];
1412 		nep->e_framecnt = cbp->c_framecnt[0];
1413 		nep->e_emask = cbp->c_emask[0];
1414 
1415 		if (cbp->c_flg & C_LOOP) {
1416 			s++;
1417 			/*
1418 			 * Account for the fact that this frame connects
1419 			 * to a previous one (thus forming a loop).
1420 			 */
1421 			nep = &einfo[cbp->c_dir];
1422 			if (--nep->e_framecnt)
1423 				nep->e_emask &= ~(1 << cbp->c_voff[0]);
1424 			else
1425 				nep->e_emask = 0;
1426 		}
1427 	}
1428 
1429 	/*
1430 	 * We only need to update the emask values of "complete" loops
1431 	 * to include the intersection spots.
1432 	 */
1433 	if (s && ocbp->c_combo.c.a == 2) {
1434 		/* process loops from the top down */
1435 		ep = &einfo[nframes];
1436 		do {
1437 			ep--;
1438 			cbp = ep->e_combo;
1439 			if (!(cbp->c_flg & C_LOOP))
1440 				continue;
1441 
1442 			/*
1443 			 * Update the emask values to include the
1444 			 * intersection spots.
1445 			 */
1446 			nep = &einfo[cbp->c_dir];
1447 			nep->e_framecnt = 1;
1448 			nep->e_emask = 1 << cbp->c_voff[0];
1449 			ep->e_framecnt = 1;
1450 			ep->e_emask = 1 << ep->e_off;
1451 			ep = &einfo[ep->e_frameindex];
1452 			do {
1453 				ep->e_framecnt = 1;
1454 				ep->e_emask = 1 << ep->e_off;
1455 				ep = &einfo[ep->e_frameindex];
1456 			} while (ep > nep);
1457 		} while (ep != einfo);
1458 	}
1459 
1460 	/* mark all the frames with the completion spots */
1461 	for (i = 0, ep = einfo, cbpp = ecombo; i < nframes; i++, ep++, cbpp++) {
1462 		m = ep->e_emask;
1463 		cbp = *cbpp;
1464 		sp = &board[cbp->c_vertex];
1465 		d = dd[s = cbp->c_dir];
1466 		cmask = CFLAG << s;
1467 		omask = (IFLAG | CFLAG) << s;
1468 		s = ep->e_fval.c.b ? 6 : 5;
1469 		for (; --s >= 0; sp += d, m >>= 1)
1470 			sp->s_flg |= (m & 1) ? omask : cmask;
1471 	}
1472 }
1473 
1474 void
1475 clearcombo(cbp, open)
1476 	struct combostr *cbp;
1477 	int open;
1478 {
1479 	struct spotstr *sp;
1480 	struct combostr *tcbp;
1481 	int d, n, mask;
1482 
1483 	for (; tcbp = cbp->c_link[1]; cbp = cbp->c_link[0]) {
1484 		clearcombo(tcbp, cbp->c_flg & C_OPEN_1);
1485 		open = cbp->c_flg & C_OPEN_0;
1486 	}
1487 	sp = &board[cbp->c_vertex];
1488 	d = dd[n = cbp->c_dir];
1489 	mask = ~((IFLAG | CFLAG) << n);
1490 	n = open ? 6 : 5;
1491 	for (; --n >= 0; sp += d)
1492 		sp->s_flg &= mask;
1493 }
1494 
1495 int
1496 list_eq(scbpp, cbpp, n)
1497 	struct combostr **scbpp;
1498 	struct combostr **cbpp;
1499 	int n;
1500 {
1501 	struct combostr **spp, **cpp;
1502 
1503 	spp = scbpp + n;
1504 	cpp = cbpp + n;
1505 	do {
1506 		if (*--spp != *--cpp)
1507 			return (0);
1508 	} while (cpp != cbpp);
1509 	/* we found a match */
1510 	return (1);
1511 }
1512 #endif /* DEBUG */
1513